Groups of people aged 15-65 are randomly selected and arranged in groups of six.

Question

Groups of people aged 15-65 are randomly selected and arranged in groups of six. In the accompanying table, the random variable x is the number in the group who say that their family and/or partner contribute most to their happiness (based on a survey). If the table is a probability distribution, what is its mean? Select the correct choice below and fill in any answer boxes within your choice. A. Its mean is nothing . (Round to one decimal place as needed.) B. The table is not a probability distribution.

Explanation / Answer

Consider:

Thus,  
  
E(x) = mean = Sum(xP(x)) =    4.874 = 4.9 [ANSWER]

x P(x) x P(x) 0 0 0 1 0.012 0.012 2 0.033 0.066 3 0.143 0.429 4 0.158 0.632 5 0.189 0.945 6 0.465 2.79

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